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Remarks on \'etale motivic stable homotopy theory

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arxiv 2104.06002 v1 pith:DNWRKG3U submitted 2021-04-13 math.KT math.AT

Tom Bachmann , Marc Hoyois This is my paper · ORCID
classification math.KTmath.AT
keywords etalehomotopymotivicstabletheoryadditionaleliminatingextending
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We strengthen some results in \'etale (and real \'etale) motivic stable homotopy theory, by eliminating finiteness hypotheses, additional localizations and/or extending to spectra from HZ-modules.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Unstable motivic and real-\'etale homotopy theory

    math.AG 2025-01 conditional novelty 8.0 of 10

    Real etale motivic homotopy theory over a scheme S is equivalent to sheaves of spaces on the real spectrum of S, and on pointed connected motivic spaces the real etale localization is the rho-telescope.

  2. Descendability and descent in topological weaves

    math.AG 2026-07 accept novelty 7.0 of 10

    Finitely presented surjections of algebraic spaces are descendable in topological weaves, yielding v-descent for rational motivic sheaves and h-descent for étale motivic spectra under bounded cohomological dimension.

  3. Deligne 1-motives with torsion and \'etale motives

    math.AG 2025-06 conditional novelty 7.0 of 10

    For Q-schemes and Dedekind schemes, the motivic t-structure exists on 1-motives with integral coefficients, with heart the abelian category of Deligne 1-motives with torsion.

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